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Chern numbers of ample vector bundles on toric surfaces
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-7186-1524
2004 (English)In: Transactions of the American Mathematical Society, ISSN 0002-9947, E-ISSN 1088-6850, Vol. 356, no 2, 587-598 p.Article in journal (Refereed) Published
Abstract [en]

This article shows a number of strong inequalities that hold for the Chern numbers c(1)(2), c(2) of any ample vector bundle epsilon of rank r on a smooth toric projective surface, S, whose topological Euler characteristic is e(S). One general lower bound for c(1)(2) proven in this article has leading term (4r + 2)e(S) ln(2) (e(S)/12). Using Bogomolov instability, strong lower bounds for c(2) are also given. Using the new inequalities, the exceptions to the lower bounds c(1)(2) > 4e(S) and c(2) > e(S) are classified.

Place, publisher, year, edition, pages
2004. Vol. 356, no 2, 587-598 p.
Keyword [en]
toric variety, ample vector bundles, Chern numbers
National Category
URN: urn:nbn:se:kth:diva-22920DOI: 10.1090/S0002-9947-03-03431-7ISI: 000186232300007ScopusID: 2-s2.0-0742306235OAI: diva2:341618
QC 20100525 QC 20120103Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2012-01-03Bibliographically approved

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